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2 years ago

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What is the correct classification of the system of equations below? 5x + 6y = 1 y = -5x + 6 A. parallel B. coincident C. inters

ecting

1 answer:

babymother [125]2 years ago

7 0

Answer: OPTION C.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the system of equations:

$\left \{ {{5x + 6y = 1} \atop {y = -5x + 6}} \right.$

Solve for "y" from the first equation in order to write it in Slope-Intercept form:

$5x + 6y = 1\\\\6y=-5x+1\\\\y=-\frac{5}{6}x+\frac{1}{6}$

Since the lines have different slopes, they cannot be parallel or coincident. Therefore, they are Intersecting.

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Answer:

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2 years ago

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given the f(x)=x2 write the equation function g(x) whose graph is a translation 5 units left and 3 units down

Leno4ka [110]

When a function is translated, it means the function is moved away from its original position.

<em>The function g(x) is: </em> $g(x) = (x + 5)^2 - 3$ <em />

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3 years ago

Which equations have infinitely many solutions?

igomit [66]

Answer:

4(x - 1) = 4x - 4

3x + 6 = 3(x + 2)

Step-by-step explanation:

The first equation is

$5x - 1 = 5x + 1$

We simplify to get;

$- 1 = 1$

This is not true, therefore this equation has no solution.

The second equation is

$3x - 1 = 1 - 3x$

Combine like terms:

$3x + 3x = 1 + 1$

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$x = \frac{1}{3}$

This has a unique solution.

The 3rd equation is

$7x - 2 = 2x - 7$

Group similar terms:

$7x - 2x = 7 + 2 \\ 5x = 9 \\ x = \frac{9}{5}$

The 4th equation is :

$4(x - 1) = 4x - 4$

$4x - 4= 4x - 4 \\ x = x$

This is always true. The equation has infinite solution.

The 5th equation is:

$3x + 6 = 3(x + 2) \\ 3x + 6 = 3x + 6 \\ x = x$

This also has infinite solution

The 6th equation is

$3(x - 4) = 4(x - 3) \\ 3x - 12 = 4x - 12 \\ 3x - 4x = - 12 + 12 \\ x = 0$

It has a unique solution.

8 0

3 years ago